congruent figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in size and shape. They can be rotated, reflected, or translated, but they remain the same.

Front

If two triangles are congruent, what can we say about their corresponding sides and angles?

Back

The corresponding sides and angles of congruent triangles are equal.

Front

What is the symbol used to denote congruence in geometry?

Back

The symbol for congruence is '≅'.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about side AB and side DE?

Back

Side AB is equal in length to side DE.

Front

How can you determine if two figures are congruent?

Back

Two figures are congruent if you can overlay one figure on top of the other without any gaps or overlaps.

Front

What is the relationship between congruent angles?

Back

Congruent angles have the same measure.

Front

If two rectangles have the same area but different side lengths, are they congruent?

Back

No, they are not congruent because congruent figures must have the same shape and size.

Front

What does it mean if two shapes are not congruent?

Back

If two shapes are not congruent, they differ in size, shape, or both.

Front

If ∆PIG ≅ ∆COW, what can we say about angle P and angle C?

Back

Angle P is equal in measure to angle C.

Front

What is the importance of congruence in geometry?

Back

Congruence helps in understanding the properties of shapes and in solving problems related to measurements and constructions.